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Finding the Fourth Proportional to 3,449.25, 5,169.22 and 1,886.90

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Solution

The fourth proportional to 3,449.25, 5,169.22 and 1,886.90 is: 2,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.25 : 5,169.22 = 1,886.90 : x
  2. Step 2: Convert to fraction form
    3,449.25/5,169.22 = 1,886.90/x
  3. Step 3: Cross multiply
    3,449.25x = 5,169.22 × 1,886.90
  4. Step 4: Simplify right side
    3,449.25x = 9,753,770.65
  5. Step 5: Solve for x
    x = 9,753,770.65/3,449.25
  6. Step 6: Final answer
    x = 2,827.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.